Question

Help quickly please!

Answer 1

Explanation:

Given:
`GF=(1)/(2)GC`,

`GE=(1)/(2)GD` and
`EF=(1)/(2)DC`

To prove: ΔGFE is similar to ΔGCD.

Proof: Since,
`(GF)/(GC)=(1)/(2)`,
`(GE)/(GD)=(1)/(2)` and
`(EF)/(DC)=(1)/(2)`, therefore

`(GF)/(GC)=(GE)/(GD)=(EF)/(DC)`

Hence, by transitive property of equality, ΔGFE is similar to ΔGCD.